A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 93​% of patients taking the drug are healed within 8 weeks. In clinical​ trials, 215 of 229 patients suffering from acid reflux disease were healed after 8 weeks. Test the​ manufacturer's claim at the α=0.05 level of significance.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than
93​%
of patients taking the drug are healed within 8 weeks. In clinical​ trials,
215
of
229
patients suffering from acid reflux disease were healed after 8 weeks. Test the​ manufacturer's claim at the
α=0.05
level of significance.
Because
np01−p0=nothing
 
less than<
equals=
greater than>
not equals≠
​10,
the sample size is
 
greater thangreater than
less thanless than
​5% of the population​ size, and the sample
 
cannot be reasonably assumed to be random,
is given to not be random,
is given to be random,
can be reasonably assumed to be random,
the requirements for testing the hypothesis
 
are
are not
satisfied.
​(Round to one decimal place as​ needed.)
What are the null and alternative​ hypotheses?
 
H0​:
 
sigmaσ
muμ
pp
 
greater than>
not equals≠
equals=
less than<
nothing
versus
H1​:
 
pp
sigmaσ
muμ
 
less than<
equals=
greater than>
not equals≠
nothing
​(Type integers or decimals. Do not​ round.)
Find the test​ statistic,
z0.
 
z0=nothing
​(Round to two decimal places as​ needed.)
Find the​ P-value.
 
​P-value=nothing
​(Round to three decimal places as​ needed.)
Choose the correct conclusion below.
 
 
A.
Reject
the null hypothesis. There
is insufficient
evidence to conclude that more than
93​%
of patients taking the drug are healed within 8 weeks.
 
B.
Reject
the null hypothesis. There
is sufficient
evidence to conclude that more than
93​%
of patients taking the drug are healed within 8 weeks.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman